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Mirrors > Home > ILE Home > Th. List > rexv | Unicode version |
Description: An existential quantifier restricted to the universe is unrestricted. (Contributed by NM, 26-Mar-2004.) |
Ref | Expression |
---|---|
rexv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2399 | . 2 | |
2 | vex 2663 | . . . 4 | |
3 | 2 | biantrur 301 | . . 3 |
4 | 3 | exbii 1569 | . 2 |
5 | 1, 4 | bitr4i 186 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wb 104 wex 1453 wcel 1465 wrex 2394 cvv 2660 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-rex 2399 df-v 2662 |
This theorem is referenced by: rexcom4 2683 spesbc 2966 abnex 4338 dfco2 5008 dfco2a 5009 |
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